332640000 has 720 divisors, whose sum is σ = 1532509440. Its totient is φ = 69120000.

The previous prime is 332639981. The next prime is 332640017. The reversal of 332640000 is 46233.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×332640000² = 221298739200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30239995 + ... + 30240005.

Almost surely, 2^332640000 is an apocalyptic number.

332640000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766254720).

332640000 is an abundant number, since it is smaller than the sum of its proper divisors (1199869440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

332640000 is an equidigital number, since it uses as much as digits as its factorization.

332640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 332640000 is about 18238.4209842848. The cubic root of 332640000 is about 692.8802101749.

Adding to 332640000 its reverse (46233), we get a palindrome (332686233).

The spelling of 332640000 in words is "three hundred thirty-two million, six hundred forty thousand".